Finding the Fourth Proportional to 9,149.63, 12,625.77 and 5,564.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,149.63 : 12,625.77 = 5,564.09 : x
2. Step 2: Convert to fraction form
   9,149.63/12,625.77 = 5,564.09/x
3. Step 3: Cross multiply
   9,149.63x = 12,625.77 × 5,564.09
4. Step 4: Simplify right side
   9,149.63x = 70,250,973.03
5. Step 5: Solve for x
   x = 70,250,973.03/9,149.63
6. Step 6: Final answer
   x = 7,678.02